Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space

Abstract

It is shown that the Hamiltonian approach for a ${\varphi }^3$-interaction on the 4-dimensional noncommutative Minkowski space leads to an ultraviolet finite $S$-matrix if the noncommutativity is averaged at each vertex.

References in corpus (6)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Noncommutative Perturbative Dynamics
• On the unitarity problem in space/time noncommutative theories
• Comments on Noncommutative Perturbative Dynamics
• Time-ordered Perturbation Theory on Noncommutative Spacetime: Basic Rules
• No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory

Cited by in corpus (6)

• Twisting all the way: from Classical Mechanics to Quantum Fields
• On second quantization on noncommutative spaces with twisted symmetries
• Quantum Spacetime: a Disambiguation
• Quantum Field Theory on Quantum Spacetime
• Dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism
• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism